Method and apparatus for providing runout compensation in a wheel

Abstract

A method of measuring the runout between a gauge and the axis of rotation of a wheel to which the gauge is mounted in each of two orthogonally related planes uses measurements of the angle between the axis of rotation of the wheel and the axis on which two or more angle sensors are pendulously supported at two or more rotational positions of the wheel and measurements of the angle of rotation of the wheel at each of said rotational positions to derive a runout equation which may be subsequently used to compute the runout at every possible rotational position of the wheel.

What is claimed is: 
     
       1. A method of measuring the respective angles between the plane of a rotatable wheel and first and second orthogonally related planes and compensating such measurements for runout, comprising the steps of positioning said wheel at a first angular position and measuring and recording the angle of the plane of said wheel relative to said first of said orthogonally related planes and measuring and recording the angle of rotation of said wheel at said first angular position of rotation of said wheel,   positioning said wheel at a second angular position and measuring and recording the angle of the plane of said wheel relative to said first of said orthogonally related planes at said second angular position of said wheel and measuring and recording the angle of rotation of said wheel at said second angular position of rotation of said wheel,   positioning said wheel at a third angular position and measuring and recording the angle of the plane of said wheel relative to said first of said orthogonally related planes at said third angular position of said wheel and measuring and recording the angle of rotation of said wheel at said third angular position of rotation of said wheel,   positioning said wheel at another angular position and measuring the angles of said plane of said wheel relative to said first and second orthogonally related planes at said another angular position of said wheel, and   using said recorded measurements made at said first, second and third angular positions of said wheel to compute the runout of said wheel relative to said first and said second orthogonally related planes at said another angular position of said wheel to compensate said measurements of the angles of said plane of said wheel relative to said first and second orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel.   
     
     
       2. A method of measuring the respective angles between the plane of a rotatable wheel and first and second orthogonally related planes and compensating such measurements for runout, comprising the steps of positioning said wheel at a first angular position and measuring and recording the angles of the plane of said wheel relative to said first and second orthogonally related planes and measuring and recording the angle of rotation of said wheel at said first angular position of rotation of said wheel,   positioning said wheel at a second angular position and measuring and recording the angles of said plane of said wheel relative to said first and second orthogonally related planes at said second angular position of said wheel and measuring and recording the angle of rotation of said wheel at said second angular position of rotation of said wheel,   positioning said wheel at a third angular position and measuring and recording the angles of said plane of said wheel relative to said orthogonally related planes at said third angular position of said wheel and measuring and recording the angle of rotation of said wheel at said third angular position of rotation of said wheel,   positioning said wheel at another angular position and measuring the angles of said plane of said wheel relative to said first and second orthogonally related planes at said another angular position of said wheel,   using said recorded measurements made at said first, second and third angular positions of said wheel of the angle between the plane of said wheel and said first one of said orthogonally related planes to compute the runout of said wheel relative to said first one of said orthogonally related planes at said another angular position of said wheel to compensate said measurement of the angle of said plane of said wheel relative to said first of said orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel, and   using said recorded measurements made at said first, second and third angular positions of said wheel of the angle between the plane of said wheel and said second one of said orthogonally related planes to compute the runout of said wheel relative to said second one of said orthogonally related planes at said another angular position of said wheel to compensate said measurement of the angle of said plane of said wheel relative to said second of said orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel.   
     
     
       3. A method of measuring the respective angles between the plane of a rotatable wheel and first and second orthogonally related planes, and compensating such measurements for runout, comprising the steps of positioning said wheel at a first angular position of rotation,   measuring and recording the angle between the plane of said wheel and said first of said orthogonally related planes at said first angular position of rotation of said wheel,   measuring and recording the angle between the plane of said wheel and said second of said orthogonally related planes at said first angular position of rotation of said wheel,   measuring and recording the angle of rotation of said wheel at said first angular position of rotation of said wheel,   positioning said wheel at a second angular position of rotation,   measuring and recording the angle between the plane of said wheel and said first of said orthogonally related planes at said second angular position of rotation of said wheel,   measuring and recording the angle between the plane of said wheel and said second of said orthogonally related planes at said second angular position of rotation of said wheel,   measuring and recording the angle of rotation of said wheel at said second angular position of rotation of said wheel,   positioning said wheel at another angular position of rotation,   measuring the respective angles between said plane of said wheel and said first and second orthogonally related planes at said another angular position of rotation of said wheel, and   using said recorded measurements made at said first and second angular positions of rotation of said wheel to compute the runout of said wheel relative to said first and said second orthogonally related planes at said another angular position of rotation of said wheel to compensate said measurements of the angles between said plane of said wheel and said first and second orthogonally related planes for the runout of said wheel at said another angular position of rotation of said wheel.   
     
     
       4. A method of measuring the respective angles between the plane of a rotatable wheel and first and second orthogonally related planes and compensating such measurements for runout, comprising the steps of measuring and recording the maximum and minimum angles of the plane of said wheel relative to said first of said orthogonally related planes and measuring and recording the corresponding angular position of said wheel as said wheel is rotated through an angle sufficient to product at least one maximum and at least one minimum reading at the angle of the plane of said wheel relative to said first of said orthogonally related planes,   positioning said wheel at another angular position and measuring the angles of said plane of said wheel relative to said first and second orthogonally related planes at said another angular position of said wheel, and   using said recorded measurements of angular position of said wheel and the angle between the plane of said wheel and said first one of said orthogonally related planes to compute the runout of said wheel relative to said first and said second orthogonally related planes at said another angular position of said wheel to compensate said measurements of the angles of said plane of said wheel relative to said first and second orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel.   
     
     
       5. A method of measuring the respective angles between the plane of a rotatable wheel and first and second orthogonally related planes and compensating such measurements for runout, comprising the steps of measuring and recording the maximum and minimum angles of the plane of said wheel relative to said first and second orthogonally related planes and measuring and recording the corresponding angular position of said wheel as said wheel is rotated through an angle sufficient to produce at least one maximum and at least one minimum reading of the angle of the plane of said wheel relative to each of said first and second orthogonally related planes,   positioning said wheel at another angular position and measuring the angles of said plane of said wheel relative to said first and second orthogonally related planes at said another angular position of said wheel,   using said recorded measurements of angular position of said wheel and the angle between the plane of said wheel and said first one of said orthogonally related planes to compute the runout of said wheel relative to said first one of said orthogonally related planes at said another angular position of said wheel to compensate said measurement of the angle of said plane of said wheel relative to said first of said orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel, and   using said recorded measurements of the angular position of said wheel and the angle between the plane of said wheel and said second one of said orthogonally related planes to compute the runout of said wheel relative to said second one of said orthogonally related planes at said another angular position of said wheel to compensate said measurement of the angle of said plane of said wheel relative to said second of said orthogonally related planes for the runout of said wheel at said another angle of rotation of said wheel.